write an exponential function y=ab^x for a graph that includes (2,4) and (3,16)
Answers
Answer:
Using the equation y = abx , substitute both of your given points into that equation.
2 = ab2 and 4 = ab3 Solve each equation for a.
2⁄b2 and 4⁄b3 = a
Therefore, 2⁄b2 = 4⁄b3
Cross multiply: 2b3 = 4b2
Divide both sides by b2
2b = 4
a = 2/4 = 1/2
b = 2
y = 1 (2)x
2
Hope it helps
Please mark me as the brainliest
Thank you
9514 1404 393
Answer:
y = (1/4)4^x
Step-by-step explanation:
In general, you can use a 2-point form to write the exponential function for points (x1, y1) and (x2, y2) as ...
y = y1·(y2/y1)^((x -x1)/(x2 -x1))
Using the given points, this becomes ...
y = 4·(16/4)^((x -2)/(3 -2)) = 4·4^(x-2)
We can eliminate the exponent arithmetic by making use of a couple of rules of exponents.
y = 4·(4^x)(4^-2) = (4^-1)(4^x)
y = (1/4)(4^x)
Related Questions
please help me please help me please help
Answers
Answer:
a) September; b)October
Step-by-step explanation:
Just do the calculations, for example: 71+(-293). You will see September has a drop less 210 dollars and October has the biggest change of sales.
Can someone please help meeeee
Answers
Answer:
45°
Step-by-step explanation:
The angle with measure of 9x and the angle with measure of 3x are supplementary
9x + 3x = 180°
12x = 180 divide both sides by 12
x = 15
The angle with measure of 9x and angle a are supplementary as well
9x + a = 180
9×15 + a = 180
135 + a = 180 subtract 135 ftom both sides
a = 45°
Solve using the quadratic formula.
q2 + 69 + 9 = 0
Answers
Answer:
the value of q = -3
Step-by-step explanation:
The computation of the equation is shown below:
Given that
q^2 + 6q + 9 = 0
q^2 + 3q+ 3q + 9
q(q + 3) + 3(q + 3)
(q+3) (q+3)
q = -3
Hence, after solving it the value of q = -3
4. The teacher recommends that students read for 20
minutes each night. How many pages will the
student complete?
proportional relationships
Answers
Regina read his novel three nights in a row. Each night, he read for 3/4 of an hour. How many hours did regina read his novel altogether?
Answers
Answer:
Regina read for 2 1/4 hours or 2 hours and 15 minutes
Step-by-step explanation:
Find the unknown number 10% of what number is 300
Answers
Answer:3,000
Step-by-step explanation:
Answer:
3000
Step-by-step explanation:
300 x
10 100
300x100
30,000
30,000/10
3000
In a standard 52-card deck, half of the cards are red, and half are black. The 52 cards are evenly divided into 4 suits: spades, hearts, diamonds, and clubs. Each suit has three face cards (jack, queen, king), and an ace. Each suit also has 9 cards numbered 2 to 10.
Dawn removes two cards, without replacement.
What is the probability that Dawn removed two black cards?
What is the probability that Dawn removed a diamond and a spade?
What is the probability that Dawn removed two face cards?
Answers
Answer:
Byhrnegngrnhumhrnim jmmumtjmmtjmtj
Select all expressions that are equal to 3⋅3⋅3⋅3⋅3.
3^5
3^4 ⋅ 3
5 ⋅ 3
5^3
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{3\times3\times3\times3\times3}\\\\\mathsf{3\times3=\bf9}\\\\\mathsf{9\times9\times3}\\\\\mathsf{9\times9=\bf81}\\\\\mathsf{81\times3=\bf result}\\\\\mathsf{= \bf \underline{243}}\large\checkmark[/tex]
[tex]\text{Option A. }\downarrow\\\mathsf{3^5}\\\\\mathsf{3^5= 3\times3\times3\times3\times3}\\\\\mathsf{3\times3\times3\times3\times3}\\\\\mathsf{3\times3 = 9}\\\\\mathsf{9\times9\times3}\\\\\mathsf{9\times9 = 81}\\\\\mathsf{81\times3= 243}\\\\\large\text{\bold{Option A.} could possibly be your \bf ANSWER}\huge\checkmark[/tex]
[tex]\text{Option B. }\downarrow\\\mathsf{3^4\times5}\\\mathsf{3^4 = 3\times3\times3\times3}\\\\\mathsf{3\times3\times3\times3}\\\\\mathsf{3\times3=9}\\\\\mathsf{9\times9= 81}\\\\\mathsf{81\times3=243}\\\\\large\text{Option B. could possibly be your \bf ANSWER}\huge\checkmark[/tex]
[tex]\text{Option C. }\downarrow\\\mathsf{3\times5}\\\\\maths{3+3+3+3+3}\\\\\mathsf{3+3=6}\\\\\mathsf{6+6+3}\\\\\mathsf{6+6=12}\\\\\mathsf{12+3=15}\\\\\mathsf{15\neq243}\\\\\large\text{Option C is NOT your ANSWER}[/tex]
[tex]\text{Option D.}\downarrow\\\mathsf{5^3}\\\\\mathsf{5^3=5\times5\times5}\\\\\mathsf{5\times5\times5}\\\\\mathsf{5\times5=25}\\\\\mathsf{25\times5 = 125}\\\\\mathsf{125\neq243}\\\\\large\text{Option D. is NOT your ANSWER}[/tex]
[tex]\boxed{\boxed{\large\text{Answers: \boxed{\boxed{\mathsf{\bf{Option\ A.)\ 3^5 \ \& \ Option\ B.)\ 3^4 \times 3}}}}}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer:
A) 3^5 B) 3^4*3
Step-by-step explanation:
WILL MARK BRAINLIEST! Solve for x and each angles measure. Only asking for #5. Thank you!
Answers
Answer:
Step-by-step explanation:
2x + 3x + 135 = 180 Every triangle has 180 degrees
5x + 135 = 180 Subtract 135 from both sides.
5x = 45 Divide by 5
x = 9
2x = 18
3x = 27
Other angle 135
Total 280
Calculator
A worker at a computer factory can assemble 8 computers per hour.
How long would it take this worker to assemble 200 computers?
08h
o 20 h
0 25 h
0 200 h
Answers
Answer:
25 Hours
Step-by-step explanation:
200 computers divided by 8 an hour gives you 25 hours to assemble the computers.
200 ÷ 8 = 25
I hope this helps. ^^
Can someone help me with the vertex of the parabola
Answers
Answer:
The vertex is (-1.5, 11.25)
Step-by-step explanation:
John sells apples for $5 per bunch and watermelons for $3 a piece. He made $100 today and sold 10 watermelons. How many bunches of apples did he sell?
Answers
Answer:
14
Step-by-step explanation:
3*10=30
5*14=70
30+70=100!!!
Answer:
he sold 14 apples
Step-by-step explanation:
multiply 10 (watermelon) and 3 (the cost) which is 30
now subtract 30 from 100 which is 70
last do 5 (the cost of apple bunch) by 70 to find the total number of bunches he sold which is 14
Which one is a unit rate?
sk
5 pounds in 2 bags
15 miles per gallon
$8.00 for 3 boxes of oranges
22gallons of water in 5 days
Answers
the key word in this example is per, which is a key word for unit rate.
hope this helps:)
Pleaseeee help I'll give Brainliest urgent!!!!!!!!!!!!!!!!!
Answers
Answer:
The answer is
'The range of the data for girls is less than the range of the data for boys'
I'm don't know dfhgh fhfghfg hgf hgfh
Find the volume of the cone.
Answers
Answer:
[tex]14.50[/tex]
...........
HELP SOON! Please!!!!
How does an outlier affect the mean of a population? The median? The range?
How can we adjust for the effects of outliers?
Answers
How do I solve 1 1/3 × 2 2/4 in steps?
Answers
Answer:
3 1/3
Step-by-Step
first step is too make a an improper fraction, 1 1/3 equals 4/3 and 2 2/4 equals 10/4. next your gonna multiply 4/3 and 10/4, 4x10=40,3x4 equals 12, so it would be 40/12. but its improper, we need to reduce it. the lowest number that can go in both numbers is 4. 40 divided by 4 =10. 12 divided by 4=3. 12/3= 3 1/3
Answer:
10/3
Step-by-step explanation:
That's 1 1/3 times 2 1/2.
Converting these into improper fractions, we get 4/3 times 5/2.
Multiplying (4/3) by (5/2), we get 20/6, or, after reduction, 10/3
Select the correct answer.
Does the equation below represent a relation, a function, both a relation and a function, or neither a relation nor a function?
y = 3:2 - 95 + 20
OA neither a relation nor a function
OB. both a relation and a function
OC function only
OD. relation only
Answers
Answer:
B. both function and relation
Step-by-step explanation:
-6y+11x=-34
-4y+7x=-24
Answers
Answer:
no idea but mabye someone whose NOT in 3rd grade will know?
Type your answer in the box.
b=2 y=6 o=4.
b3 - y - o
Answers
Answ
70
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
just took the quiz
‼️DIMENSIONAL ANALYSIS‼️
‼️ASAP!!! BRAINLIEST!!‼️
PLS HELP!!! SHOW ALL WORK +STEPS!! Thx!
Answers
40075km to miles is 24901.451 miles
And we need miles per hour
So divide 24901.451 by 24
= 1037.56 mph (rounded to nearest tenth)
Answer choices
79in
158in
103in
118in
164in
Answers
it's 158 inches
----------------------------
4 to the power of3 -(2+2to the power of 3) x 5
Answers
Answer:
14
Step-by-step explanation:
Given the following equation;
4³ - (2 + 2³) * 5
4*4*4 - (2 + 2*2*2) * 5
64 - (2 + 8) * 5
64 - (10) * 5
64 - 50 = 14
Note: the rule of BODMAS was applied.
Please help me I wanna go to sleep :(
Answers
Answer:
a. -2
b. 48, -96, 192
Step-by-step explanation:
3x+5=12-7x solve? Help
Answers
Answer:
3x + 5 = 12 - 7x
⇒ 3x = 12 - 5 - 7x
⇒ 3x = 7 - 7x
⇒ 3x + 7x = 7
⇒ 10x = 7
⇒ x= 7 ÷ 10
⇒ x = 0.7
Look at point w,x,y,and z on the number line
Answers
Answer:
u need toADD THE PITRUE
Step-by-step explanation:
A researcher found that 55% of families in the United States have one child under the age of 21, 22% have two children under the age of 21, 15% have three children under the age of 21, 5% have 4 children under the age of 21and 3% have 5 or more children under the age of 21. If a family is selected at random, what is the probability the family has at least 3 children under the age of 21? (Express your answer as a percent, Please include the % symbol.)
Answers
Answer:
23% probability the family has at least 3 children under the age of 21.
Step-by-step explanation:
If a family is selected at random, what is the probability the family has at least 3 children under the age of 21?
15% have three children under the age of 21
5% have 4 children under the age of 21
3% have 5 or more children under the age of 21.
So:
15% + 5% + 3% = 23%
23% probability the family has at least 3 children under the age of 21.
Help
Which product are greater than 2 and 5\6? Select all that apply
Answers
Answer:
B, C, & E
Step-by-step explanation:
that’s the answer g
Please help solve this!
Answers
By dropping a perpendicular from the top of the isosceles triangle to the base and using the Pythagorean Theorem we quickly determine that the height of the triangle is 4.
Therefore the area of the isosceles triangle is
6•4/2=12
However, we can split the isosceles triangle into three separate triangles indicated by the red lines in the diagram below. Because the radius always meets a tangent at a right angle the area of each triangle will be the length of the side multiplied by the radius of the circle. So the total area of the isosceles triangle is given by
6r/2+2•5r/2=8r=12
8r=12
r=12/8
r=3/2
5/8 62.5/100 as a ratio (simplified)
Answers
Answer:
5:8, 25:1
Step-by-step explanation:
i guess this is ans